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Finding the Fourth Proportional to 6,495.99, 8,964.10 and 3,663.82

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Solution

The fourth proportional to 6,495.99, 8,964.10 and 3,663.82 is: 5,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.99 : 8,964.10 = 3,663.82 : x
  2. Step 2: Convert to fraction form
    6,495.99/8,964.10 = 3,663.82/x
  3. Step 3: Cross multiply
    6,495.99x = 8,964.10 × 3,663.82
  4. Step 4: Simplify right side
    6,495.99x = 32,842,848.86
  5. Step 5: Solve for x
    x = 32,842,848.86/6,495.99
  6. Step 6: Final answer
    x = 5,055.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.